Deformations of Kähler manifolds to normal bundles and restricted volumes of big classes

Cites Work

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Kiselman's principle, the Dirichlet problem for the Monge-Ampère equation, and rooftop obstacle problems
Monge-Ampère equations in big cohomology classes
Complex Monge-Ampère equations and geodesics in the space of Kähler metrics. Lecture notes
A new capacity for plurisubharmonic functions
Kähler currents and null loci
Harmonic discs of solutions to the complex homogeneous Monge-Ampère equation
Fine topology, Šilov boundary, and \((dd^ c)^ n\)
The partial Legendre transformation for plurisubharmonic functions
Canonical growth conditions associated to ample line bundles
K-stability for Kähler manifolds
K-semistability of cscK manifolds with transcendental cohomology class
The closures of test configurations and algebraic singularity types
Monge-Ampère measures on contact sets
Test configurations for \(k\)-stability and geodesic rays
Analytic test configurations and geodesic rays
From Monge-Ampère equations to envelopes and geodesic rays in the zero temperature limit
Differentiability of volumes of divisors and a problem of Teissier
Restricted volumes and base loci of linear series
Convex bodies associated to linear series
Elliptic Partial Differential Equations of Second Order
Homogeneous Monge–Ampère Equations and Canonical Tubular Neighbourhoods in Kähler Geometry
ON THE VOLUME OF A LINE BUNDLE
Divisorial Zariski decompositions on compact complex manifolds
The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension
On K-Polystability of cscK Manifolds with Transcendental Cohomology Class
The Dirichlet problem for the complex homogeneous Monge-Ampère equation
A variational approach to the Yau–Tian–Donaldson conjecture
Monotonicity of non-pluripolar Monge-Ampere masses
Duality between the pseudoeffective and the movable cone on a projective manifold
Solution to a non-Archimedean Monge-Ampère equation
Restricted volumes on Kähler manifolds

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